Вопрос:

5. Вычислите A) 5/8 + 1/3 : 3/8 Г) 17/19 : 5 + 2/19 : 1/5 Ё) 7/8 * 10 + 1/8 : 0,1 Б) 11/17 : 9 - 2/11 : 1/9 Д) 79 * 11 - 69 : 1/11 3) 5/12 : 0,2 + 7/12 * 5 И) 57 : 9/11 + 33 * 1/9 K) 7/8 * 9 + 5/8 : 1/9 Л) 7/9 : 9 + 5/9 - 1/9 * 1/9 O) (87 * 35 - 81 * 35) / (37 * 28 - 28 * 28)

Ответ:

5. Вычислите

  1. A) \( \frac{5}{8} + \frac{1}{3} : \frac{3}{8} = \frac{5}{8} + \frac{1}{3} \cdot \frac{8}{3} = \frac{5}{8} + \frac{8}{9} = \frac{45 + 64}{72} = \frac{109}{72} \)
  2. Г) \( \frac{17}{19} : 5 + \frac{2}{19} : \frac{1}{5} = \frac{17}{19 \cdot 5} + \frac{2}{19} \cdot 5 = \frac{17}{95} + \frac{10}{19} = \frac{17 + 50}{95} = \frac{67}{95} \)
  3. Ё) \( \frac{7}{8} \cdot 10 + \frac{1}{8} : 0,1 = \frac{70}{8} + \frac{1}{8} : \frac{1}{10} = \frac{35}{4} + \frac{1}{8} \cdot 10 = \frac{35}{4} + \frac{10}{8} = \frac{70}{8} + \frac{10}{8} = \frac{80}{8} = 10 \)
  4. Б) \( \frac{11}{17} : 9 - \frac{2}{11} : \frac{1}{9} = \frac{11}{17 \cdot 9} - \frac{2}{11} \cdot 9 = \frac{11}{153} - \frac{18}{11} = \frac{121 - 2754}{1683} = -\frac{2633}{1683} \)
  5. Д) \( 79 \cdot 11 - 69 : \frac{1}{11} = 869 - 69 \cdot 11 = 869 - 759 = 110 \)
  6. 3) \( \frac{5}{12} : 0,2 + \frac{7}{12} \cdot 5 = \frac{5}{12} : \frac{1}{5} + \frac{35}{12} = \frac{5}{12} \cdot 5 + \frac{35}{12} = \frac{25}{12} + \frac{35}{12} = \frac{60}{12} = 5 \)
  7. И) \( 57 : \frac{9}{11} + 33 \cdot \frac{1}{9} = 57 \cdot \frac{11}{9} + \frac{33}{9} = \frac{627}{9} + \frac{33}{9} = \frac{660}{9} = \frac{220}{3} \)
  8. K) \( \frac{7}{8} \cdot 9 + \frac{5}{8} : \frac{1}{9} = \frac{63}{8} + \frac{5}{8} \cdot 9 = \frac{63}{8} + \frac{45}{8} = \frac{108}{8} = \frac{27}{2} \)
  9. Л) \( \frac{7}{9} : 9 + \frac{5}{9} - \frac{1}{9} \cdot \frac{1}{9} = \frac{7}{81} + \frac{5}{9} - \frac{1}{81} = \frac{7 + 45 - 1}{81} = \frac{51}{81} = \frac{17}{27} \)
  10. O) \( \frac{87 \cdot 35 - 81 \cdot 35}{37 \cdot 28 - 28 \cdot 28} = \frac{35 (87 - 81)}{28 (37 - 28)} = \frac{35 \cdot 6}{28 \cdot 9} = \frac{5 \cdot 6}{4 \cdot 9} = \frac{30}{36} = \frac{5}{6} \)

Ответ: А) 109/72, Г) 67/95, Ё) 10, Б) -2633/1683, Д) 110, 3) 5, И) 220/3, K) 27/2, Л) 17/27, O) 5/6.

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